
Sequences and Series
Flashcard
•
Mathematics
•
KG
•
Practice Problem
•
Medium
Sujatha E
Used 1+ times
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41 questions
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1.
FLASHCARD QUESTION
Front
What is a sequence?
Back
A set of numbers a1, a2, ..., an, ... such that to each positive integer n, there corresponds a number an of the set, denoted by {an}.
2.
FLASHCARD QUESTION
Front
What is an example of a sequence where an = 1/n?
Back
The sequence is 1, 1/2, 1/3, ..., 1/n, ...
3.
FLASHCARD QUESTION
Front
What is a constant sequence?
Back
A sequence where all terms are the same, e.g., an = k.
4.
FLASHCARD QUESTION
Front
What is a finite sequence?
Back
A sequence that has a finite number of terms.
5.
FLASHCARD QUESTION
Front
What is an infinite sequence?
Back
A sequence that does not have a finite number of terms.
6.
FLASHCARD QUESTION
Front
What is a bounded sequence?
Back
A sequence {sn} is said to be bounded if there exist numbers m, M such that m < an < M for all n in N.
7.
FLASHCARD QUESTION
Front
What is a monotonic sequence?
Back
A sequence that is either monotonically increasing or monotonically decreasing.
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